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Finding the Third Proportional to 80,548 and 174,936

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Solution

The third proportional to 80,548 and 174,936 is: 379,930.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,548 : 174,936 = 174,936 : x
  2. Step 2: Convert to fraction form
    80,548/174,936 = 174,936/x
  3. Step 3: Cross multiply
    80,548x = 174,936 × 174,936
  4. Step 4: Simplify right side
    80,548x = 30,602,604,096
  5. Step 5: Solve for x
    x = 30,602,604,096/80,548
  6. Step 6: Final answer
    x = 379,930.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.